Find the most general antiderivative. [√t-√ dt

Q: True/False 1) If f is decreasing on (a,b) then f'(x) <0 for each x in (a,b) 2) If f'(c)=0 then f has…

A: Since you have posted multiple questions i can do first three questions as per our company…

Q: L=¹{F(s)} = ? O Let F(s) = O f(t)=e-8 tsin(√7t) O None of the others O 1 O 1 s²+16s+71 f(t)=…

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Q: 11. Consider the graph of the function below. Dashed lines are asymptotes. 34 -2TT -TT y 0 -EIN 2TT…

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Q: Find the value of the summation. 3 Σ (k2 – 2) - k=0 > Next Question

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Q: Find the following using the table below. x 1 2 3 4 f(x) 2 1 4 f'(x) 3 1 g(x) 4 3 2 1 g'(x) 1 3 2 4…

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Q: Evaluate: [; 1 1+x+|x| dx

A: To evaluate the given integral

Q: Find the volume of a parallelepiped if four of its eight vertices are. e A(0, 0, 0), B(1, 2, 0),…

A: Given; A(0,0,0), B(1,2,0), C(0,-3,2), D(3,-4,5).

Q: Find all the values of a such that the given series would converge. (-1)"11"x" Ž (√n +9) n=1 The…

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Q: Using horizontal rectangular elements, which of the following definite integrals give the volume of…

A: Please see the below picture for detailed solution.

Q: Consider the A. Using derivative analysis, find the coordinates of any local extrema. B. Using…

A: Given function is f(x)=Inx/x To find critical points we use f'(x)=0 To find inflection point we use…

Q: Which of the following is NOT true about the logarithmic function y = log a where a > 1? O It is…

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Q: Find the standard form of the ellipse given below in general form. 18x² +108x +9y² – 54y +81 = 0

A: Solution: 18x2+108x+9y2-54y+81=0  The standard form of the ellipse : (x-y)2a2+(y-k)2b2=1is the…

Q: On graph (A) draw a function that is continuous on [-2, 2]. On graph (B) draw a function that has an…

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Q: I Use Trigonometric Substitution to find the indefinite integral O None of these. In 3 +√9-2² - In|x…

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Q: A farmer finds that if she plants 65 trees per acre, each tree will yield 70 bushels of fruit. She…

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Q: Explain the relationship between a function and the derivative by providing an example.

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Q: There is a line through the origin that divides the region bounded by the parabola y = 7x - 2x² and…

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Q: 18) Suppose P'(x) = 5ex - 6x³+ 4x and P(0) = -9. Find P(x).

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Q: #1₁ S (3) Find d dt 1+ t²

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Q: How would you go from x squared = 6/5 to x=square root of 30/5

A: given x2=65

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A: Given  M1 =400 M2 =900 Total Cost  = The cost of installing along the length D + The cost of…

Q: A tank is full of water. Find the work W required to pump the water out of the spout. Use the fact…

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Q: Given the vectors →u=⟨−3,2⟩ and →v=⟨−6,11⟩, find the angle (in degrees) between them. Angle between…

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Q: Given that sin Find cot 0.

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Q: Solve the following rational equation for x: x 4 + x+3 x² + 2x-3 1 x-1

A: INTRODUCTION A rational equation is one that has at least one fraction with polynomials as the…

Q: Suppose you are standing such that a 32-foot tree is directly between you and the sun. If you are…

A: we need to find the height.

Q: Use double integral to find the area of the region bounded by the one leaf of the rose r = a cos 20.…

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Q: 4x² 16x – 9y² – 72y — 164 = 0

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Q: What's the exact value of ? -1/2 -0.866 7π (TH) 6 COS -√2 2 LES/2

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Q: 24) Find the area, in square units, bounded by f(x) = x² - 4 and y = 0 over the interval [-2, 2].

A: To find the area of the region

Q: Question 6 Next Question > Consider the function f(x) = 8x8 + 7x7 - 7x¹ - 6. Enter the…

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Q: What's ㅇ d dx -(2ª)

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Q: What is ? arccotx d dx (arctanæ) -1 1 – x² 1 1 - x² -1 1 + x² 1 1+x²

A: ddxarctanx=11+x2 Proof: Let, y=arctanx   Then, tany=x Differentiate both sides with respect to x:…

Q: Verify that the function ƒ(x)=√x −x satisfies the three hypotheses Rolle's Theorem on the interval…

A: Rolles theorm 1) if f( x ) is continuous in [ a,b ]2) if f( x ) is differentiable in ( a, b ) 3) if…

Q: 7) What value of N(x, y) will make the differential equation (3r2y +422)dr + N(x,y)dy = 0 exact? a)…

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Q: The function f(x) - 2x³ + 30x² - 126x + 7 has one local minimum and one local maximum. This function…

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Q: (8) Compute 100 [ f(x) dz 3 f(x) dx where f(x) = √9-x² ³x+3 if -3<x<0 if 0<x< 50 -162 if 50 ≤ x ≤…

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Q: Question 1: Supply the missing constant, k, so that the resulting trinomial is a perfect square.…

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Q: 4. Find the following limits. In(x) x-1 1-e(x²-1) a) lim b) lim t→-5 c) lim √2t + 10 - 2 t-5 In(In…

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Q: Determine whether the infinite geometric series is convergent or divergent. If it is convergent,…

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Q: Find the volume of the parallelepiped determined by the vectors a, b, and c. a = 2i + 4j - 4k, b =…

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Q: Find the critical point of the function f(x, y) = -2 - 7x - 8x² + 4y + y² This critical point is a:…

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Q: Suppose you know the following: • ƒ( − 8) = 4 f'(-8)= -7 f'(x) is continuous for all x ● Find the…

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Q: Let f(x) = 5 сл | 8 9e*. Find the general antiderivative of f(x)

A: Antiderivative of a function f(x) is a function whose derivative is equal to f(x). So, to find…

Q: solid generated using the Shell Method. 1. The region bounded by y=x+1, y=0, x=0, and x = 1 is…

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Q: 4. Graph the piecewise. Then, find the limit. lim h(x), h(x): x-2 = -2x + 2, 1-x² + 2x -2, -2 x≤2…

A: Answer is in step 2.

Q: Use the translation theorem to find: L{f(t)} A) f(t) = te4¹

A: CONCEPT: According to first translation theorem  Leatf(t)=F(s-a)   so  Lt=1s2

Q: 9 Write the Taylor Series for f(x) = sin(x) at x = 12/12/2 as & Cn (x-7) n Find the first 5…

A: Taylor serues

Q: How to find min and max of a function using derivatives, explain process and why the process works?

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Q: Find the inverse of f(x) f ¹(x) = = 52+4 3x − 4

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